3) A bead on a wire can slide with negligible friction on a hoop with radius R rotating at a ant rate with a period T. ) Find the angle 0 at which the bead would not slide on the hoop. Express this in terms of the values given above and any constants (e.g. g).

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2.
A bead on a wire can slide with negligible friction on a hoop with radius R rotating at a
constant rate with a period T.
а.
Find the angle 0 at which the bead would not slide on the
hoop. Express this in terms of the values given above and any
constants (e.g. g).
Note: A FBD and proper setup of NII equations are required
here. Do your algebra.
b.
If the period increases, will the bead slide upward, slide
downward, or do neither? Explain why, using your result from part a.
Can 0 be greater than or equal to 90°? Why or why not? Use FBDS and your result
С.
from part a as evidence.
d.
Are there any other angles at which the ball will not slide on the hoop? Explain why.
Note: Think very carefully about your forces here. Use FBDS.
Transcribed Image Text:2. A bead on a wire can slide with negligible friction on a hoop with radius R rotating at a constant rate with a period T. а. Find the angle 0 at which the bead would not slide on the hoop. Express this in terms of the values given above and any constants (e.g. g). Note: A FBD and proper setup of NII equations are required here. Do your algebra. b. If the period increases, will the bead slide upward, slide downward, or do neither? Explain why, using your result from part a. Can 0 be greater than or equal to 90°? Why or why not? Use FBDS and your result С. from part a as evidence. d. Are there any other angles at which the ball will not slide on the hoop? Explain why. Note: Think very carefully about your forces here. Use FBDS.
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